Fill in the blanks in the following proof by contradiction that there is no least positive...

Fill in the blanks in the following proof by contradiction that there is no least positive real number.

Proof: Suppose not. That is, suppose that there is a least positive real number x. [We must deduce (a).] Consider the number x/2. Since x is a positive real number, x/2 is also (b). In addition, we can deduce that x/2 by multiplying both sides of the inequality 1<2 by (c) and dividing (d). Hence x/2 is a positive real number that is less than the least positive real number. This is a (e) [Thus the supposition is false, and so there is no least positive real number.]